This paper presents several numerical techniques which can be used for the solution of boundary value problems related to the motion of cables. First, the linearized equation of motion is deduced, followed by the description of algorithms for the solution of both linear and non-linear problems. An application to the motion of electrical cables subject to forces due to fault currents is presented, where the computed results are compared to the corresponding experimental data. Finally, the application to a free end-point cable is also considered